For avoiding confusion, we reset the solutions to (REF ) and (REF ) as \((\tilde{p},\tilde{q}^1)\)  and \((\tilde{P},\tilde{Q}^1)\) .
Then Theorem REF  reduces to Theorem 2 of Hu [1]}, the global maximum principle of completely observed case for decoupled FBSDEs with the following relations hold:
\(\begin{aligned}&p_t=\tilde{p}_t,\ q_t=\tilde{q}^1_t,\ p_th_t=m_t,\ h_tq_t+f_zp_th_t=n^1_t,\\&P_th_t=\tilde{P}_t,\ h_tQ_t+f_zP_th_t=\tilde{Q}_t,\end{aligned}\) 
